Geodesic
Commutators of parameter Marcinkiwicz integral with functions in Campanato spaces on Orlicz-Morrey spaces
Filomat, Tome 37 (2023) no. 21, p. 7255

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DOI

In this paper, we consider the commutator M ρ Ω,b generated by the locally integrable function b in generalized Campanato spaces and the parameter Marcinkiwicz integral with the rough kernel M ρ Ω , where the rough kernel Ω satisfies certain log-type regularity. Meanwhile, a necessary and sufficient condition for the boundedness of the commutator on Orlicz-Morrey spaces is established.
DOI : 10.2298/FIL2321255Y
Classification : 42B20, 42B25, 42B35, 46E30
Keywords: Orlicz-Morrey space, Campanato space, Parameter Marcinkiwicz integral, Commutator 
Heng Yang; Jiang Zhou. Commutators of parameter Marcinkiwicz integral with functions in Campanato spaces on Orlicz-Morrey spaces. Filomat, Tome 37 (2023) no. 21, p. 7255 . doi: 10.2298/FIL2321255Y
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     author = {Heng Yang and Jiang Zhou},
     title = {Commutators of parameter {Marcinkiwicz} integral with functions in {Campanato} spaces on {Orlicz-Morrey} spaces},
     journal = {Filomat},
     pages = {7255 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321255Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321255Y/}
}
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